Equations practice problems - page 69 of 212
An equation is a statement that asserts the equality of two expressions, which are connected by the equals sign =. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation.Number of problems found: 4227
- Grandmother 32673
On a school trip, Šárka received pocket money from her grandmother for small expenses. On the first day, she spent 20% of it and was left with 320 CZK. Calculate the amount of Šárka's pocket money. - Railway embankment
The railway embankment section is an isosceles trapezoid, and the bases' sizes are in the ratio of 5:3. The arms have a length of 5 m, and the embankment height is 4.8 m. Calculates the size of the embankment section area. - Original plan
Gardeners planted 16% more currant bushes than initially planned. In total, they planted x = 435 shrubs. What was the original plan? - Fractions: 32541
Solve the following equation with fractions: (5x + 1) / 3 + (17-x) / 2 = (3x + 1) / 8 + 15
- Secondary school
1/2 of the pupils want to study at the secondary school, 1/4 at the apprentice, 1/6 at the grammar school three pupils do not like to learn. How many students are in the class? - Decibel
What percentage of sound intensity increases if the sound intensity level increases by 1 dB? - Savings 32203
Helena had 20% more savings than Jane. They have saved 1804 CZK. How much have Helena and Jane held? - Find d 2
Find d in an A. P. whose 5th term is 18 and 39th term is 120. - Daughter 31783
When the father was 31, the daughter was eight years old. Now, a father is twice as old as a daughter. How old is her daughter?
- Perimeter 31761
Mr. Marek wants to build a circular pond in his garden. He wishes the perimeter of the pond in meters and the area in square meters to be expressed in the same numbers. What is the radius of the pond? - Looking 31641
Nine times the number x is seven less than 160. Find the number x you are looking for. - Consecutive 31611
The sum of two consecutive natural numbers, of which the greater is 4x, equals the number 55. Determine the number x. - Book reading
Susan thought, "If I read 15 pages a day, I will read the whole book in 8 days. "How many pages would she have to read a day if she wanted to finish the book on the 6th day from the start of reading? And how many pages does the book have? - Saplings 31521
The orchard was planted over three years. In the second year, 15% more saplings were planted than in the first year. In the third year, 40% fewer saplings were planted than in the first and second years combined. A total of 4,128 saplings were planted. Ho
- Pedestrian 31511
A pedestrian walked from Tábor to Veselí nad Lužnicí at a speed of 6 km/h. At the same time, a cyclist rode in the opposite direction at a speed of 24 km/h. The distance between the cities is 36 km. How long and far from Tábor will the pedestrian and the - Soldiers 31501
The soldiers walked 90km in 3 days. The next day, they left twice more than the first day and the third day three times more than the second day. How many km did they march on each day? - Performance 31371
According to the plan, seven pavers were to pave the square in 14 days. After two days of work, another 5 pavers came to help them. How many days from the arrival of the pavers will the work be completed? (tile performance is the same) - General line equations
In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the slope form gives the line: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) the lin - Savings 31311
Petr spent a fifth of his savings on a compact disc and 25% on a book on nature. He has 550 CZK left. How many crowns did Petr save?
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